MinT - Information on Result #1137800

Information on Result #1137800

Linear OOA(2²⁵⁸, 44, F₂, 6, 181) (dual of [(44, 6), 6, 182]-NRT-code), using OOA 2-folding based on linear OOA(2²⁵⁸, 88, F₂, 3, 181) (dual of [(88, 3), 6, 182]-NRT-code), using

concatenation of two NRT-codes [i] based on
1. linear OA(8⁶, 8, F₈, 6) (dual of [8, 2, 7]-code or 8-arc in PG(5,8)), using
  - Reedâ€“Solomon code RS(2,8) [i]
2. linear OOA(2³⁰, 11, F₂, 3, 25) (dual of [(11, 3), 3, 26]-NRT-code), using
  - juxtaposition [i] based on
    1. linear OOA(2⁶, 3, F₂, 3, 6) (dual of [(3, 3), 3, 7]-NRT-code), using
      - extended Reedâ€“Solomon NRT-code RS_e(3;3,2) [i]
    2. linear OOA(2²¹, 8, F₂, 3, 18) (dual of [(8, 3), 3, 19]-NRT-code), using
      - juxtaposition [i] based on
        linear OOA(2⁶, 3, F₂, 3, 6) (dual of [(3, 3), 3, 7]-NRT-code) (see above)
        linear OOA(2¹², 5, F₂, 3, 11) (dual of [(5, 3), 3, 12]-NRT-code), using
        extended algebraic-geometric NRT-code AG_e(3;F,3P) [i] based on function field F/F₂ with g(F) = 1 and N(F) ≥ 5, using
        an explicitly constructive algebraic function field [i]

Mode: Constructive and linear.

Optimality

Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n and t.

Other Results with Identical Parameters

None.

Depending Results

None.